Relaxation in Complex Systems and Related Topics

✍ Scribed by Leif Lundgren (auth.), Ian A. Campbell, Carlo Giovannella (eds.)

• Publisher: Springer US
• Year: 1990
• Tongue: English
• Leaves: 331
• Series: NATO ASI Series 222
• Edition: 1
• Category: Library

✦ Synopsis

The aim of the workshop was to bring together specialists in various fields where non-exponential relaxation is observed in order to compare models and experimental results and to examine the general physical principles governing this type of behaviour. Non-exponential relaxation is found in extremely diverse physical systems all of which can be classified as complex. The form of the relaxation is generally parametrized using logarithmic, algebraic or stretched exponential decay forms. The conceptually simplest mechanism for the non-exponential decay is a spectrum of relaxation rates due to non-interacting units each of which relaxes with a different intrinsic time constant. Clear experimental examples can be given where for instance the relaxation of a collection of isolated polymer molecules leads to an overall stretched exponential decay. Non-exponential relaxation is observed in all strongly interacting complex systems (structural glasses, spin glasses, etc ... ) where each elementary unit is in interaction with many other units.

✦ Table of Contents

Front Matter....Pages i-x
Front Matter....Pages 1-1
Experiments on Spin Glass Dynamics....Pages 3-10
Attempt at a Comprehensive Description of the Slow Spin Glass Dynamics....Pages 11-21
Spin-Glass Dynamics in the Two-Dimensional Ising System Rb 2 Cu 1-x Co x F 4 ....Pages 23-26
Cluster Model for Non-Equilibrium Relaxation in Spin Glasses....Pages 27-30
Some Aspects of the Dynamics of Random Anisotropy Systems....Pages 31-38
Static and Dynamic Properties of Fine Magnetic Particles....Pages 39-49
Kinetic Aspects of Magnetic Relaxation in Amorphous Ferromagnetic Alloys....Pages 51-59
Dynamic Crossover in Dipolar Ferromagnets....Pages 61-65
Magnetic Excitations in the Disordered System Mg 1-x Co x Cl 2 ....Pages 67-70
Dynamic Properties of Critical and Paramagnetic Spin Fluctuations in Simple Magnets: Confrontation of Experimental and Theoretical Findings....Pages 71-78
Front Matter....Pages 79-79
Thermally Activated Flux Motion in High-T c -Superconductors....Pages 81-88
Flux Motion in Bi 2 Sr 2 Ca 1 Cu 2 O 8+x Single Crystals....Pages 89-94
Relaxation of the Vortex Lattice in Type-II Superconductors....Pages 95-98
Investigation of the Relaxation Behaviour in High Tc Superconductors....Pages 99-104
Relaxation Experiments in Short Coherence Length Superconductors....Pages 105-112
Quasi-Equilibrium Dynamics and Non-Debye Relaxation in High T c Granular Superconductors....Pages 113-122
Relaxation and Dynamics in Granular Superconductors and Superconducting Arrays....Pages 123-130
Numerical Simulation of the Magnetic Relaxation in Superconducting Systems....Pages 131-136
Noise Measurements in dc-SQUIDs Based on Nb — NbOx — PbAuIn Josephson Junctions....Pages 137-140
The Resistive Transition of Inhomogeneous Superconductors : Effects of “Mild” Granularity, Dimensionality, Gaussian Fluctuations and Critical Behaviour....Pages 141-144
Front Matter....Pages 145-145
Comparison of Spin Glass Relaxation and Energy Transport at Dynamic Percolation....Pages 147-154
Stretched-Exponential Relaxation of Electric Birefringence in Critical Systems and Colloidal Solutions....Pages 155-163
The Glass Transition of Hard Spherical Colloids....Pages 165-174
Structural Relaxation and Dynamics of Water in Disordered MX-RH 2 O Systems....Pages 175-183
Glassy Dynamics and Relaxation in Proteins....Pages 185-188
Models for Relaxation in Glasses and Protein Channels....Pages 189-196
Information classification acquired by organization of neuronic connections....Pages 197-203
Long-Term Behavior of Neural Networks....Pages 205-214
Information Storage and Relaxation in Biological Systems....Pages 215-219
Front Matter....Pages 221-221
Dynamical Properties of Hierarchical Polymeric Cluster Solutions....Pages 223-230
Critical Scaling in Glassy Glasses....Pages 231-234
Flow in Granular Materials: Self-Organized Non-Critical Behavior....Pages 235-244
Non-Exponential Thermal Relaxation and Low-Energy Excitations in CDW Compounds....Pages 245-249
Non-Debye-Like Dielectric Relaxation in Ionically and Electronically Conducting Glasses....Pages 251-260
Anelastic Relaxation Due to Interacting Point Defects....Pages 261-269
Complexity and Chaos in Thermal Convection....Pages 271-283
About the Fractal Relationship Between Kohlrausch-Williams-Watts Decay, Cole-Cole and Davidson-Cole Relaxations....Pages 285-288
Polarization Decay in Glass-Forming and Ferroelectric Perovskites....Pages 289-291
Front Matter....Pages 293-293
Localization as a Mechanism for the Transition to Anomalous Relaxation....Pages 295-300
Complexity of Hierarchical Relaxation....Pages 301-304
Front Matter....Pages 293-293
Probability Density of Random Walks on Random Fractals: Stretched Gaussians and Multifractal Features....Pages 305-307
The Symmetric and Fully Distributed Solution to a Generalized Dining Philosophers Problem: An Analogue of the Coupling Theory of Relaxations in Complex Correlated Systems....Pages 309-316
Onsager- Machlup Functions for Ising Networks....Pages 317-324
Simple Models for Complex Relaxation....Pages 325-328
Introduction to the Lattice Boltzmann Equation for Fluid Dynamics....Pages 329-334
Back Matter....Pages 335-338

✦ Subjects

Atomic, Molecular, Optical and Plasma Physics;Solid State Physics;Spectroscopy and Microscopy;Condensed Matter Physics;Crystallography;Theoretical, Mathematical and Computational Physics